title: A strategy to determine operating parameters in tissue engineering hollow fiber bioreactors.
abstract: The development of tissue engineering hollow fiber bioreactors (HFB) requires the optimal design of the geometry and operation parameters of the system. This article provides a strategy for specifying operating conditions for the system based on mathematical models of oxygen delivery to the cell population. Analytical and numerical solutions of these models are developed based on Michaelis-Menten kinetics. Depending on the minimum oxygen concentration required to culture a functional cell population, together with the oxygen uptake kinetics, the strategy dictates the model needed to describe mass transport so that the operating conditions can be defined. If c(min) ≫ K(m) we capture oxygen uptake using zero-order kinetics and proceed analytically. This enables operating equations to be developed that allow the user to choose the medium flow rate, lumen length, and ECS depth to provide a prescribed value of c(min) . When c(min) />>K(m), we use numerical techniques to solve full Michaelis-Menten kinetics and present operating data for the bioreactor. The strategy presented utilizes both analytical and numerical approaches and can be applied to any cell type with known oxygen transport properties and uptake kinetics.
authors.affiliation: Oxford Centre for Industrial and Applied Mathematics, Mathematical Institute, 24-29 St. Giles', Oxford OX1 3LB, UK. shipley@maths.ox.ac.uk
authors.forename: R J
authors.initials: RJ
authors.lastname: Shipley
authors.forename: A J
authors.initials: AJ
authors.lastname: Davidson
authors.forename: K
authors.initials: K
authors.lastname: Chan
authors.forename: J B
authors.initials: JB
authors.lastname: Chaudhuri
authors.forename: S L
authors.initials: SL
authors.lastname: Waters
authors.forename: M J
authors.initials: MJ
authors.lastname: Ellis
mesh_terms: D000818:Animals; D001692:Biological Transport; D019149:Bioreactors; D002417:Cattle; D002478:Cells, Cultured; D004867:Equipment Design; D007700:Kinetics; D008954:Models, Biological; D010100:Oxygen / Q000378:metabolism*; D051381:Rats; D023822:Tissue Engineering / Q000379:methods*
chemical_list: D010100:Oxygen